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Second Thermal and Fluids Engineering  Conference

ISSN: 2379-1748
ISBN: 978-1-56700-430-4

CRITICAL CONDITION FOR THERMAL CONVECTION OF BINGHAM FLUIDS IN RECTANGULAR RAYLEIGH-BÉNARD CONFIGURATION

Sahin Yigit
School of Mechanical and Systems Engineering, Newcastle University, Newcastle-Upon-Tyne, United Kingdom

Osman Turan
School of Mechanical & Systems Engineering, Newcastle University, Newcastle-Upon-Tyne, UK; Department of Mech. and Manufacturing Engineering, Bilecik Seyh Edebali University, Bilecik, TURKEY

Nilanjan Chakraborty
School of Mechanical and Systems Engineering, Newcastle University, Newcastle-Upon-Tyne, NE17RU, United Kingdom

Abstract

Two-dimensional steady-state numerical simulations have been conducted for laminar Rayleigh-Bénard convection of Bingham fluids in rectangular enclosures to analyze the critical conditions for which convection ceases to influence the thermal transport and thermal conduction becomes the principal heat transfer mechanism when the Rayleigh number is decreased from an established flow condition for a given set of values of aspect ratio, Prandtl number and Bingham number (non-dimensional yield stress). The Bingham fluid flow is modelled using the bi-viscosity regularization which assumes the unyielded region as highly viscous fluid region and the simulations have been carried out for different values of aspect ratio AR (i.e. height: length) in the range of 1/4 to 4 and nominal Prandtl number in the range of 10 to 500 for constant wall temperature boundary condition for differentially heated horizontal walls with heated bottom wall.

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